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Finding the Fourth Proportional to 947.86, 1,307.66 and 574.71

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Solution

The fourth proportional to 947.86, 1,307.66 and 574.71 is: 792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.86 : 1,307.66 = 574.71 : x
  2. Step 2: Convert to fraction form
    947.86/1,307.66 = 574.71/x
  3. Step 3: Cross multiply
    947.86x = 1,307.66 × 574.71
  4. Step 4: Simplify right side
    947.86x = 751,525.28
  5. Step 5: Solve for x
    x = 751,525.28/947.86
  6. Step 6: Final answer
    x = 792.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.